Some remarks on the structure of Mackey functors
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- by J. P. C. Greenlees and J. P. May
- Proc. Amer. Math. Soc. 115 (1992), 237-243
- DOI: https://doi.org/10.1090/S0002-9939-1992-1076574-2
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Abstract:
All Mackey functors over a finite group $G$ are built up by short exact sequences from Mackey functors arising from modules over the integral group rings of appropriate subquotients WH of $G$. The equivariant cohomology theories with coefficients in Mackey functors arising from WH-modules admit particularly simple descriptions.References
- Andreas W. M. Dress, Contributions to the theory of induced representations, Algebraic $K$-theory, II: “Classical” algebraic $K$-theory and connections with arithmetic (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972) Lecture Notes in Math., Vol. 342, Springer, Berlin, 1973, pp. 183–240. MR 0384917 J. P. C. Greenlees, M. J. Hopkins, and J. P. May, Completions of $G$-spectra at ideals of the Burnside ring. I, preprint. L. G. Lewis, Jr., The theory of Green functors, mimeographed notes.
- L. G. Lewis Jr., J. P. May, M. Steinberger, and J. E. McClure, Equivariant stable homotopy theory, Lecture Notes in Mathematics, vol. 1213, Springer-Verlag, Berlin, 1986. With contributions by J. E. McClure. MR 866482, DOI 10.1007/BFb0075778 J. Thévenaz and P. J. Webb, Simple Mackey functors, Proc. of the 1989 Bressanone Conf. on Group Theory (to appear).
Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 237-243
- MSC: Primary 55M35
- DOI: https://doi.org/10.1090/S0002-9939-1992-1076574-2
- MathSciNet review: 1076574